The number 50463
50463 is a composite number with 20 divisors. Its prime factorisation is × 7 × 89. Divisors (20): 1, 3, 7, 9, 21, 27, 63, 81, 89, 189, 267, 567, 623, 801, 1869, 2403 … 50463.
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How to work it out
- 1
What is special about 50463: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
50463 is composite. Its prime factorisation is
- 3
The divisors add up to 87120; without 50463 itself that is 36657, so 50463 is deficient (36657 is less than 50463). Euler's totient φ(50463) = 28512 numbers up to 50463 share no factor with it.
- 4
The digits of 50463 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 65 steps to reach 1.
LaTeX source of the formulas on this page
\[ 50463 = 3^{4} \times 7 \times 89 \]50463 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 87120 |
| Euler totient φ(n) | 28512 |
| Square | 2546514369 |
| Cube | 128504754602847 |
| Square root | 224.639712 (= 9√623) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 65 |
| Scientific notation | 5.0463 × |
50463 in other forms
| Form | Value |
|---|---|
| In words | fifty thousand four hundred and sixty-three |
| Binary (base 2) | 1100010100011111 |
| Octal (base 8) | 142437 |
| Hexadecimal (base 16) | C51F |
| Base 3 | 2120020000 |
| As time | 50463 seconds = 14 h 1 min 3 s |
Is 50463 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (50463 ÷ 3 = 16821) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (50463 ÷ 7 = 7209) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | No (remainder 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (50463 ÷ 9 = 5607) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 50463 a prime number?
No. 50463 = × 7 × 89, so it is divisible by 3.
What are the factors of 50463?
1, 3, 7, 9, 21, 27, 63, 81, 89, 189, 267, 567, 623, 801, 1869, 2403, 5607, 7209, 16821, 50463.
What is 50463 in binary?
1100010100011111 (hexadecimal C51F, octal 142437).
What is the square root of 50463?
About 224.6397, exactly 9√623.
Is 50463 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 50463?
50463 is a happy number: repeatedly adding the squares of its digits reaches 1.